Solutions of Quantum Gravity Coupled to the Scalar Field
Arkadiusz Blaut, Jerzy Kowalski-Glikman

TL;DR
This paper explores solutions to the Wheeler-De Witt equation in quantum gravity coupled with a massless scalar field, revealing a one-parameter family of solutions after regularization and renormalization.
Contribution
It introduces a regularized and renormalized approach to solving the Wheeler-De Witt equation with scalar coupling, identifying a new class of solutions.
Findings
Found a one-parameter family of solutions.
Demonstrated regularization and renormalization procedures.
Extended understanding of quantum gravity with scalar fields.
Abstract
We consider the Wheeler-De Witt equation for canonical quantum gravity coupled to massless scalar field. After regularizing and renormalizing this equation, we find a one-parameter class of its solutions.
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